Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 25
Let the three sides of the A s ABC, DBF be equal, eachto each, that is, AB=DE, AC=T)F, and BC=EF. Tlien must the triangles he equal in all respects. Imagine the A DEF to be turned over and applied to theA ABC, in such a way that EF coincides with BC, and thevertex D falls on the side of BC opposite… … Then in ^ABD, v BD = BA, .. i BAD= l BDA,And in ^ACD, v CD = CA, .. i CAD= z CDA,.. sum of L s BAD, 0.42)=sum of / s BDA, CDA,that is, aBAC= I BDC. Hence we see, referring to the original triangles, that z BAC= L EDF.,., by Prop. 4. the triangles are equal :■ ill respects. LA.L A. Ax. 2. Book…
Geometry
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